Foundations of Physics Letters

, Volume 10, Issue 1, pp 43–60 | Cite as

The logic of quantum mechanics derived from classical general relativity

Article

Abstract

For the first time it is shown that the logic of quantum mechanics can be derived from classical physics. An orthomodular lattice of propositions characteristic of quantum logic, is constructed for manifolds in Einstein’s theory of general relativity. A particle is modelled by a topologically non-trivial 4-manifold with closed timelike curves—a 4-geon, rather than as an evolving 3-manifold. It is then possible for both the state preparationand measurement apparatus to constrain the results of experiments. It is shown that propositions about the results of measurements can satisfy a non-distributive logic rather than the Boolean logic of classical systems. Reasonable assumptions about the role of the measurement apparatus leads to an orthomodular lattice of propositions characteristic of quantum logic.

Key words

geons closed timelike curves quantum mechanics general relativity quantum logic 

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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of WarwickCoventryUnited Kingdom

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